Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

7, -11, and 2 + 6i please i need help urgently

Answer 1

2 factors are
(x - 7) and ( x + 11)
complex roots come in conjugate pairs so a 4th root will be 2 - 6i

Answer 2

and its just (2+6i)(2-6i)?

Answer 3

@cwrw238 ?

Answer 4

no - sorry i had to go away for a minute and my computer is very slow

Answer 5

it factorizes to (x - 7)(x + 11)(x - (2 + 6i](x - (2 - 6i)]
the last 2 factors expand to x^2 - 4x + 40)

so we have
(x - 7)(x + 11)(x^2 - 4x + 40)

Answer 6

expanding this will give a quartic polynomial (standard form)

Answer 7

thank you very much

Answer 8

yw